SOLUTION: State the x-value of the x-intercept of the graph described by the following linear equation: -5x-4y=10

Algebra ->  Linear-equations -> SOLUTION: State the x-value of the x-intercept of the graph described by the following linear equation: -5x-4y=10      Log On


   



Question 1186737: State the x-value of the x-intercept of the graph described by the following linear equation: -5x-4y=10
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=0, solve for x.

x=0, solve for y.

DONE.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

x-intercept is the point on x-axis, where function y(x) is zero.


So, from the given equation, we write  


    4y = -5x - 10


and equate the right side to zero


    -5x - 10 = 0.


It gives us


    5x = - 10

     x = -10/5 = -2.


So, x-intercept is the point  x= - 2 on x-axis.    ANSWER

Solved with thorough explanation.


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Ignore the post by @josgarithmetic, since from his post you will understand NOTHING.

    //     And will learn nothing.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


A student who already knows how to work the problem will understand what the response from tutor @josgarithmetic means. But that response is too cryptic to be of any use to the student who is trying to learn HOW to solve the problem.

And finding the answer doesn't require as much effort as shown in the response from the other tutor....

The "x-value of the x-intercept" of a graph is the x value when y is zero. So simply substitute y=0 in the given equation and solve for x.

-5x%2B4%280%29=10
-5x=10
x=10%2F-5=-2

ANSWER: x=-2